{"title":"Stability of the steady rotations of a satellite with internal damping in a central gravitational field","authors":"N.I. Amelkin, V.V. Kholoshchak","doi":"10.1016/j.jappmathmech.2017.08.002","DOIUrl":null,"url":null,"abstract":"<div><p><span>The rotational motion of a satellite in a central </span>gravitational field in the presence of internal dissipation is studied. The satellite is modelled by a system consisting of two bodies, a shell and a spherical damper. The stability of the steady rotations is investigated for a dynamically symmetric satellite moving in a circular Kepler orbit.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 2","pages":"Pages 85-94"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.002","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021892817300680","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 9
Abstract
The rotational motion of a satellite in a central gravitational field in the presence of internal dissipation is studied. The satellite is modelled by a system consisting of two bodies, a shell and a spherical damper. The stability of the steady rotations is investigated for a dynamically symmetric satellite moving in a circular Kepler orbit.
期刊介绍:
This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.